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almond37 [142]
3 years ago
8

Find the 10th term in each sequence 40, 10, 5/2, 5/8,...

Mathematics
1 answer:
Nata [24]3 years ago
8 0

9514 1404 393

Answer:

  5/32768

Step-by-step explanation:

This sequence does not have a common difference, but does have a common ratio of r = 10/40 = 1/4. The first term is a1 = 40.

The general term of a geometric sequence is ...

  an = a1·r^(n-1)

Then the 10th term is ...

  a10 = 40·(1/4)^(10 -1) = 40/4^9 = 5/32768

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Alguien me pude decir una adivinanza o historia q la solución sea una ecuación de segundo grado completa????
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Answer:

Una ecuación de segundo grado completa es algo como:

y = a*x^2 + b*x + c

Un problema tipico que usa ecuaciones de este tipo es algo que nos haga multiplicar dos términos como h*(x + k) y n*(x + j)

Donde h, k, n, y j son números reales.

Entonces planteemos el siguiente caso.

"Juan tiene una tabla rectangular, de tal forma que su largo es (x + 3cm), y el ancho es igual a dos veces su largo, si sabemos que el área de esta tabla es 95 cm^2 ¿cuál es el valor de x?"

Acá hay que recordar que para un rectángulo de largo L y ancho W, el área es:

A = L*W

En este caso tendremos:

L = (x + 3cm)

Y el ancho es dos veces eso, entonces:

W = 2*(x + 3cm)

Entonces el area de esta tabla se escribirá como:

A = (x + 3cm)*2*(x + 3cm)

Ahora solo tenemos que expandir eso:

A = 2*x^2 + 12cm*x + 18cm^2

Ahora sabemos que el area de esta tabla es 95cm^2

Entonces:

95cm^2 =  2*x^2 + 12cm*x + 18cm^2

0 = 2*x^2 + 12cm*x + (18cm^2 - 95cm^2)

0 = 2*x^2 + 12cm*x - 77 cm^2

Esta es una ecuación de segundo grado completa, la cual deberiamos resolver para encontrar el valor de x como se nos pide en el problema.

4 0
2 years ago
3 nineteens, tripled
34kurt

Answer:

19 x 3 = 57

19 plus 19 plus 19 = 57

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Step-by-step explanation:

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3 years ago
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Answer:

x = 12

Step-by-step explanation:

The sum of exterior angles is = 360

one of the angle is given we will need to add all three angles

128 + 8x + 11x + 4 = 360 add like terms

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